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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 618 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 4, 2 and 8.
  2. 2.Find the LCM of 5, 13 and 15.
  3. 3.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  4. 4.Find the LCM of 2 and 5.
  5. 5.Find the LCM of 10 and 16.
  6. 6.Find the LCM of 3, 4 and 8.
  7. 7.Find the HCF of 4 and 14.
  8. 8.Find the HCF of 91 and 39.
  9. 9.Find the LCM of 7 and 4.
  10. 10.Find the LCM of 2, 7 and 15.
  11. 11.Find the LCM of 5, 6 and 9.
  12. 12.Find the HCF of 35 and 15.
  13. 13.Find the LCM of 10 and 25.
  14. 14.Find the LCM of 2, 12 and 11.
  15. 15.Find the LCM of 25 and 40.
  16. 16.Find the LCM of 10 and 6.
  17. 17.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  18. 18.Find the LCM of 14, 6 and 10.
  19. 19.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  20. 20.Find the LCM of 15, 12 and 4.
  21. 21.Find the LCM of 8 and 10.
  22. 22.Find the HCF of 20 and 24.
  23. 23.Find the LCM of 2, 11 and 14.
  24. 24.Find the LCM of 12, 9 and 3.
  25. 25.Find the HCF of 16 and 36.
  26. 26.Find the LCM of 3, 14 and 6.
  27. 27.Find the LCM of 4, 12 and 6.
  28. 28.Find the LCM of 5, 8 and 10.
  29. 29.Find the LCM of 20 and 24.
  30. 30.Find the HCF of 98 and 112.
  31. 31.Find the LCM of 36 and 30.
  32. 32.Find the LCM of 12, 4 and 11.
  33. 33.Find the HCF of 108 and 48.
  34. 34.Find the HCF of 6 and 8.
  35. 35.Find the HCF of 28 and 24.
  36. 36.Find the LCM of 32 and 12.
  37. 37.Find the HCF of 18 and 14.
  38. 38.Find the HCF of 63 and 72.
  39. 39.Find the HCF of 108 and 24.
  40. 40.Find the HCF of 20 and 25.

Answer key

  1. 8
  2. 195
  3. 24
  4. 10
  5. 80
  6. 24
  7. 2
  8. 13
  9. 28
  10. 210
  11. 90
  12. 5
  13. 50
  14. 132
  15. 200
  16. 30
  17. 27
  18. 210
  19. 14
  20. 60
  21. 40
  22. 4
  23. 154
  24. 36
  25. 4
  26. 42
  27. 12
  28. 40
  29. 120
  30. 14
  31. 180
  32. 132
  33. 12
  34. 2
  35. 4
  36. 96
  37. 2
  38. 9
  39. 12
  40. 5

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